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Simplifying n + -5 = 5(n + -8) + -9 Reorder the terms: -5 + n = 5(n + -8) + -9 Reorder the terms: -5 + n = 5(-8 + n) + -9 -5 + n = (-8 * 5 + n * 5) + -9 -5 + n = (-40 + 5n) + -9 Reorder the terms: -5 + n = -40 + -9 + 5n Combine like terms: -40 + -9 = -49 -5 + n = -49 + 5n Solving -5 + n = -49 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -5 + n + -5n = -49 + 5n + -5n Combine like terms: n + -5n = -4n -5 + -4n = -49 + 5n + -5n Combine like terms: 5n + -5n = 0 -5 + -4n = -49 + 0 -5 + -4n = -49 Add '5' to each side of the equation. -5 + 5 + -4n = -49 + 5 Combine like terms: -5 + 5 = 0 0 + -4n = -49 + 5 -4n = -49 + 5 Combine like terms: -49 + 5 = -44 -4n = -44 Divide each side by '-4'. n = 11 Simplifying n = 11
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